1 citations · 2 across the 6 of their papers we have counts for
7 papers
Common Real Secants to Pairs of Real Twisted Cubic Curves
Saima Aslam, Matthew Faust, Jonathan D. Hauenstein +5
It is well established that a general pair of twisted cubic curves in complex projective space has ten common secant lines. As an initial investigation, we show that the monodromy…
Numerical Elimination: Computing Complements of Real Hypersurfaces Using Pseudo-Witness Sets
Paul Breiding, John Cobb, Aviva K. Englander +6
Many hypersurfaces in algebraic geometry, such as discriminants, arise as the projection of another variety. The real complement of such a hypersurface decomposes into connected co…
Identifiability of directed-cycle and catenary linear compartment models
Saber Ahmed, Natasha Crepeau, Paul R. Dessauer +6
A parameter of a mathematical model is structurally identifiable if it can be determined from noiseless experimental data. Here, we examine the identifiability properties of two im…
Deficiency of chemical reaction networks: The effect of operations that preserve multistationarity and periodic orbits
Awildo Gutierrez, Elijah Leake, Caelyn Rivas-Sobie +2
We investigate six operations on chemical reaction networks, all of which have been proven to preserve important dynamical properties, namely, the capacity for nondegenerate multis…
Additive Invariants of Open Petri Nets
Benjamin Merlin Bumpus, Sophie Libkind, Jordy Lopez Garcia +2
We classify all additive invariants of open Petri nets: these are -valued invariants which are additive with respect to sequential and parallel composition of open Petr…
Irreducibility of the Dispersion Polynomial for Periodic Graphs
Matthew Faust, Jordy Lopez Garcia
We use methods from algebra and discrete geometry to study the irreducibility of the dispersion polynomial of a discrete periodic operator associated to a periodic graph after chan…